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A new approach for the calculation of ground states of many-electron systems is developed via an integral formulation of the Hohenberg-Kohn-Sham density-functional theory. Orbitals are not employed. In place of the set of one-electron equations, the total electron density is explicitly expressed in terms of the Kohn-Sham local potential through a multidimensional integration. This offers the possibility of ab initio calculations for molecules with very many electrons. The method can also be applied to calculate Compton profiles.
Weitao Yang (Mon,) studied this question.